Practice mode Volume and Surface Area

A solid hemisphere of radius 9 cm is melted and recast into a cone with the same base radius. What is the height of the cone?

Correct answer A. 18 cm

Explanation

Volume is unchanged on recasting: 2/3 x πr³ = 1/3 x πr²h gives h = 2r = 2 x 9 = 18 cm.

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